Subextension of plurisubharmonic functions with boundary values in weighted pluricomplex energy classes

DOI10.1080/17476933.2015.1036244zbMath1364.32027OpenAlexW1491870052MaRDI QIDQ3455402

Trieu van Dung, Le Mau Hai, Nguyen Xuan Hong

Publication date: 4 December 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1036244

zbMATH Keywords

weighted pluricomplex energy classescomplex Monge-Ampère operatorsubextension of plurisubharmonic functions

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (6)

Subextension of \(m\)-subharmonic functions ⋮ Approximation of plurifinely plurisubharmonic functions ⋮ Range of the complex Monge–Ampère operator on plurifinely domain ⋮ Convergence in capacity of plurisubharmonic functions with given boundary values ⋮ Subextension of plurisubharmonic functions in unbounded hyperconvex domains and applications ⋮ Equations of complex Monge–Ampère type for arbitrary measures and applications

Cites Work

• Some weighted energy classes of plurisubharmonic functions
• Monge-Ampère measures on pluripolar sets
• Pluricomplex energy
• Subextension of plurisubharmonic functions with bounded Monge--Ampère mass
• The general definition of the complex Monge-Ampère operator.
• On the Cegrell classes
• Weighted pluricomplex energy
• Subextension of plurisubharmonic functions without changing the Monge–Ampère measures and applications
• Convergence in Capacity
• The complex Monge–Ampère equation in unbounded hyperconvex domains in ℂⁿ
• APPROXIMATION OF WEAKLY SINGULAR PLURISUBHARMONIC FUNCTIONS
• A comparison principle for the complex Monge-Ampère operator in Cegrell’s classes and applications
• Pluripolar sets and the subextension in Cegrell's classes
• A general Dirichlet problem for the complex Monge–Ampère operator
• Subextension of plurisubharmonic functions without increasing the total Monge–Ampère mass
• The range of the complex Monge-Ampere operator II
• The connection between the Cegrell classes and compliant functions

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